论文标题

量子校正后的Schwarzschild Black Hole用Gup响起

The ringing of quantum corrected Schwarzschild black hole with GUP

论文作者

Xing, Yujia, Yang, Yi, Liu, Dong, Long, Zheng-Wen, Xu, Zhaoyi

论文摘要

在标量场扰动和电磁场扰动下,研究了带有量子校正的Schwarzschild黑洞,以分析校正项对潜在函数和准标准模式(QNM)的影响。在经典的一般相对论中,时空是连续的,没有所谓的最小长度。引入广义不确定性原理(GUP)的校正项(参数$β$)可以改变黑洞量规的奇异性结构,并可能导致时间和空间的离散化。我们应用六阶WKB方法来近似使用量子校正的Schwarzschild黑洞的QNM,并执行数值分析以得出该方法的结果。同样,我们发现标量场中的有效电位和QNM大于电磁场中的电势和QNM。

Schwarzschild black holes with quantum corrections are studied under scalar field perturbations and electromagnetic field perturbations to analyze the effect of the correction term on the potential function and quasinormal mode (QNM). In classical general relativity, spacetime is continuous and there is no existence of the so-called minimal length. The introduction of the correction items of the generalized uncertainty principle (GUP), the parameter $β$, can change the singularity structure of the black hole gauge and may lead to discretization in time and space. We apply the sixth-order WKB method to approximate the QNM of Schwarzschild black holes with quantum corrections and perform numerical analysis to derive the results of the method. Also, we find that the effective potential and QNM in scalar fields are larger than those in electromagnetic fields.

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